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Finding the Fourth Proportional to 256,673.28, 384,689.14 and 123,517.78

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Solution

The fourth proportional to 256,673.28, 384,689.14 and 123,517.78 is: 185,122.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,673.28 : 384,689.14 = 123,517.78 : x
  2. Step 2: Convert to fraction form
    256,673.28/384,689.14 = 123,517.78/x
  3. Step 3: Cross multiply
    256,673.28x = 384,689.14 × 123,517.78
  4. Step 4: Simplify right side
    256,673.28x = 47,515,948,562.91
  5. Step 5: Solve for x
    x = 47,515,948,562.91/256,673.28
  6. Step 6: Final answer
    x = 185,122.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.